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neonofarm [45]
3 years ago
6

What is the value of z in the equation 2z + 8 = −6? −1 −7 1 7

Mathematics
1 answer:
vitfil [10]3 years ago
4 0

Answer:

So the answer is -7

Step-by-step explanation:

2z + 8 = −6

2z + 8 -8 = -6 -8 ( add  - 8 for both sides)

2z = -14

2z/2 = -14/2 (divide both sides by 2)

z = - 7

So the answer is -7

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8 0
2 years ago
Solve the equation and graph the solution(s), if possible. 9|4p + 2| + 8 = 35
Cerrena [4.2K]
Solving an equation means finding a value of a variable that make the equation true. This value is called the solution of the equation.<span> A mathematical equation is just like a balanced equation. Both sides of the equation should be equal at all times. </span><span>Whatever we do to one side, has to be done on the opposite side.</span>

9|4p + 2| + 8 = 35 

&#10;9|4p+2|=35-8&#10; &#10;                Subtract \ 8 \ from \ both \ sides
 
9|4p+2|=27&#10;&#10; &#10; 

|4p+2|= \dfrac{27}{9}    Divide \ both \ sides \ by \ 9

|4p+2|=3 

Break \ down \ the \ problem \ into \ these \ 2 \ equations 

&#10;4p+2=3&#10; &#10; 

-(4p+2)=3 

Solve \ the \ 1st \ equation: \ 4p+2=3 

4p=3-2   <span> Subtract \ 2 \ from \ both \ sides 
</span>
4p=1 

p= \dfrac{1}{4}   <span> Divide \ both \ sides \ by \ 4 
</span>
Solve \ the \ 2nd \ equation: \ -(4p+2)=3 

-4p−2=3   Simplify \ brackets 

-4p=3+2      <span> Add \ 2 \ to \ both \ sides 
</span>
-4p=5 

p= -\dfrac{5}{4} 

Collect \ all \ solutions 

p= -\dfrac{5}{4} , p= \dfrac{1}{4} 
8 0
2 years ago
A
Ludmilka [50]

Answer:

Step-by-step explanation:

d = r * t

Let the rate of the boat in still water = x

Let the rate of the stream = y

Against the current

24 = (x - y)* 4                Divide both sides by 4

24/4 = x - y

6 = x - y

With the current

24 = (x + y )* 3                Divide both sides by 3

24/3 = (x + y)

8 = x + y

Put the two equations together

x - y = 6

<u>x + y = 8</u>                           Add

2x = 14                              Divide by 2

2x/2 = 14/2

x = 7

x + y = 8

7 + y = 8

y = 8 - 7

y = 1

The boat is going 7 miles per hour

The stream is going 1 mile per hour.

 

4 0
2 years ago
Elimina los signos de agrupacion y resuelve la suma de enteros 4+{+5+[-3+4+(-7+4)+4]+2
Veseljchak [2.6K]
I think that is the right!

6 0
2 years ago
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